INTRO

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It might seem like Pythagorean Theorem is all about right triangles, but if we dig deeper it's also about squares.That's right! Let’s say we have a right triangle with sides $a$, $b$, and $c$.In a right triangle, the mini square 🔲 marks the right angle. Sides $a$ and $b$ form an

$a$

$b$

$c$

**around the right angle and are called the**__L__**egs.**__l__The small square inside the triangle always points towards $c$, the longest side of the triangle, also called the hypotenuse.

The Pythagorean Theorem tells us that if squares are formed on each of the three sides, the sum of the areas of the two smaller squares is equal to the area of the biggest square.

$a$

$b$

$c$

$a_{2}+b_{2}=c_{2}$

We can use this concept to find any missing side of a right triangle given the two other sides.Check out our or explore our and sections to learn more about the Pythagorean Theorem and test your understanding.

Calculator

Lesson

Practice

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CALCULATOR

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## Pythagorean Theorem Calculator

### Step 1. Identify the given and missing sides.

The small square inside the triangle points toward the hypotenuse (the longest side). The legs are the sides that form the right angle and

**L**shape of the triangle.$a$

$b$

$c$

Given Values:Missing:

KEY STEPS

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## How to Use the Pythagorean Theorem

### Step 1. Identify the given and missing sides.

**L**shape of the triangle.

$a$

$b$

$c$

### Step 2. Imagine a square on each of the three sides of the triangle.

$a$

$b$

$c$

### Step 3. Use Pythagorean's Theorem to find the missing side.

Pythagorean's Theorem tells us the areas of the smaller two squares

$a_{2}+b_{2}=c_{2}$__c__ombined are equal to the area of the largest square. We can use this to find the missing side:LESSON

— Pythagorean Theorem

## Pythagorean Theorem

The Pythagorean Theorem helps us solve for missing sides in right triangles.

$a_{2}+b_{2}=c_{2}$One way to remember this formula is to imagine forming squares on each of the three sides of a right triangle. The areas of the smaller two squares combined are equal to the area of the largest square.$a$

$b$

$c$

Let’s review some example problems to see how we can use the Pythagorean Theorem to find different missing sides of right triangles.

PRACTICE

— Pythagorean Theorem

## Practice: Pythagorean Theorem

Question 1 of 6: Calculate the length of the missing side:

$4$

$?$

$5$

### Step 1. Identify the given and missing sides.

The small square inside the triangle points toward the hypotenuse (the longest side). The legs are the sides that form the right angle and

**L**shape of the triangle.Given Values:Missing:

CONCLUSION

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Incredible job, look at you go! Thanks for checking out this lesson ☺️🙏. Where to next?

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